document.write( "Question 176404: I need help putting 25x^2+16y^2+150x=160y-225 in standard form and then finding the a^2 value. \n" ); document.write( "
Algebra.Com's Answer #131502 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! I need help putting 25x^2+16y^2+150x=160y-225 in standard form and then finding the a^2 value. \n" ); document.write( "------------- \n" ); document.write( "Complete the square on the x-terms and on the y-terms:\r \n" ); document.write( "\n" ); document.write( "25(x^2 + 6x + ?) + 16(y^2 - 10y + ?) = -225 \n" ); document.write( "25(x^2 + 6x + 9) + 16(y^2 - 10y + 25) = -225 + 25*9 + 16*25 \n" ); document.write( "25(x+3)^2 + 16(y-5)^2 = 400 \n" ); document.write( "[(x+3)^2]/16 + [(y-5)^2]/25 = 1 \n" ); document.write( "------------------ \n" ); document.write( "a^2 = 25 \n" ); document.write( "============ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |